Derive the condition for resonance in the circuit

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written 9.4 years ago by

teamques10 ★ 70k

modified 3.8 years ago by

pedsangini276 • 4.8k

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Mumbai University > FE > Sem 1 > Basic Electrical and Electronics Engineering

Marks: 3 M

Year: Dec 2013

basic electrical engineering

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written 9.4 years ago by

teamques10 ★ 70k

A circuit containing reactance is said to be resonance if the voltage across the circuit is in phase with the current through it. At resonance the circuit thus behaves as a pure resistor and et reactance is zero.

$\bar{Z}$ $=R+jX_L-jX_C \\ =R+jω_L-j \dfrac{1}{ω_C} \\ =R+j(ω_L-\dfrac{1}{ω_C} )$

At resonance,

$ω_L-\dfrac{1}{ω_C} =0 …

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